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Finding the Fourth Proportional to 157.80, 218.28 and 149.28

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Solution

The fourth proportional to 157.80, 218.28 and 149.28 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 218.28 = 149.28 : x
  2. Step 2: Convert to fraction form
    157.80/218.28 = 149.28/x
  3. Step 3: Cross multiply
    157.80x = 218.28 × 149.28
  4. Step 4: Simplify right side
    157.80x = 32,584.84
  5. Step 5: Solve for x
    x = 32,584.84/157.80
  6. Step 6: Final answer
    x = 206.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.